We analyse a problem of hydraulic fracture driven by non-Newtonian shear-thinning fluid. Fluid viscosity is described the four-parameter truncated power-law model. By varying parameters rheological model we investigate spatial and temporal evolution fluid flow inside crack resulting geometry. A detailed quantitative qualitative analysis underlying physical phenomena delivered. The results demon...

We consider the nonlinear damped wave equation arising in unsteady Poiseuille flow of shear thinning Maxwell fluid. We show the global existence of the smooth solution to the corresponding nonlinear system. We also give some numerical examples. c © 2006 Elsevier Ltd. All rights reserved.

We experimentally investigate the drag-reduced channel flow of an inelastic, shear-thinning rigid polymer solution. Particle image velocimetry and shear-viscosity measurements are used to obtain instantaneous distributions shear viscosity within turbulent domain. elucidate that drag reduction for polymers is primarily driven by a thin lubricating layer consists low-viscosity fluid near wall.

The performance of corrugated baffles inserted in a rectangular channel heat exchanger is investigated. The fluid flows and thermal distribution are determined via numerical simulations. The working fluid has a shear thinning behavior. The influence of the baffle design is explored, we interest to the “wavy” shape. The corrugation angle of baffle (α) is changed from 0° (i.e. a straight...

Biological and artificial microswimmers often encounter fluid media with non-Newtonian rheological properties. In particular, many biological fluids such as blood mucus are shear-thinning. Recent studies have demonstrated how shear-thinning rheology can impact substantially the propulsion performance in different manners. this work, we examine effect of geometrical shape upon locomotion a using...

In purely viscous Newtonian fluids, mechanical mixing of the fluid stream as it moves through an unstructured porous medium controls the long-time dispersion of molecular tracers. In applications ranging from environmental remediation to materials processing, however, particles are transported through porous media in polymer solutions and melts, for which the fluid properties depend on the shea...

Abstract This paper analyzes the applicability of Eringen’s Generalized Continuum Theories as a model for human blood in microcirculation. The applied theory considers fluid with fully deformable substructure, namely micromorphic fluid. analysis is motivated by fact that itself can be considered suspension particles, i.e., red cells (RBCs), suspended Newtonian fluid, plasma. As consequence, non...

ABSTRACT This paper investigates journal bearings, and builds a lubrication model taking into account misalignment, the lubricant couple stress effect shear thinning. In order to explore sensitivity of fluid performance oil film thickness, we introduce critical thickness coefficient. The results show that increases with increase coefficient, it is highest in area minimum thickness. Compared par...

We investigate the influence of the fluid constitutive model on the outcome of shape optimization tasks, motivated by optimal design problems in biomedical engineering. Our computations are based on the Navier-Stokes equations generalized to non-Newtonian fluid, with the modified Cross model employed to account for the shear-thinning behavior of blood. The generalized Newtonian treatment exhibi...